Phase Transition of a Heisenberg Spin-Glass Model in Three Dimensions

Details Phase Transition of a Heisenberg Spin-Glass Model in Three Dimensions Phase Transition of a Heisenberg Spin-Glass Model in Three Dimensions

2000-11-13

arxiv.org/abs/cond-mat/0011218v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 6 figures

Scientific paper

We study the phase transition of the $\pm J$ Heisenberg model in three dimensions. Using a dynamical simulation method that removes a drift of the system, the existence of the spin-glass (SG) phase at low temperatures is suggested. The transition temperature is estimated to be $T_{\rm SG} \sim 0.18J$ from both equilibrium and off-equilibrium Monte-Carlo simulations. Our result contradicts the chirality mechanism of the phase transition reported recently by Kawamura which claims that it is not the spins but the chiralities of the spins that are ordered in Heisenberg SG systems.

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